Biquandle Power Brackets of Oriented Links

Authors

NESLİHAN GÜGÜMCÜFollow
SAM NELSONFollow

Author ORCID Identifier

NESLİHAN GÜGÜMCÜ: 0009-0002-2236-4107

SAM NELSON: 0000-0003-4973-2467

Abstract

In this paper, we introduce biquandle power brackets, an infinite family of invariants of oriented links containing the classical skein invariants and the quandle and biquandle 2-cocycle invariants as special cases. Biquandle power brackets are generalizations of biquandle brackets in which the values of Kauffman states also depend on the biquandle colors they admit. We provide example computations and discuss the relationship between these new invariants and the previous cases.

DOI

10.55730/1300-0098.3580

Keywords

Biquandle brackets, Biquandle invariants of oriented links, Biquandle power brackets

First Page

157

Last Page

172

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

GÜGÜMCÜ, NESLİHAN and NELSON, SAM (2025) "Biquandle Power Brackets of Oriented Links," Turkish Journal of Mathematics: Vol. 49: No. 2, Article 2. https://doi.org/10.55730/1300-0098.3580
Available at: https://journals.tubitak.gov.tr/math/vol49/iss2/2